Applied Mechanics and Graphic Statics
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

125.5 mm from A
109.5 mm from A
132.5 mm from A
119.5 mm from A

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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is

None of these
a rectilinear motion with constant speed
a simple harmonic motion
a damped oscillatory motion

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Applied Mechanics and Graphic Statics
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation

ω² (l sin ϕ + r cos φ tan θ)
ω² (l cos ϕ + r sin ϕ tan θ)
ω (l sin ϕ + r cos ϕ tan θ)
ω² (l sin ϕ - r cos θ tan ϕ)

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